Stable superfluid vortex filament structures in laminar boundary layer flow of helium II

We show that in laminar boundary layer flow of superfluid helium II, with the normal fluid having a Blasius profile and the superfluid a constant velocity profile, that there can exist superfluid vortex filament configurations that have a steady shape and do not dissipate even at nonzero temperatures. We describe the parameter ranges within which these vortex structures are stable. The vortex structures transfer the kinetic energy of the normal fluid away from the boundary, and thus may cause instability in the normal fluid boundary layer.